English

Backwards uniqueness of the Ricci flow

Differential Geometry 2009-06-29 v1 Analysis of PDEs

Abstract

In this paper, we prove a unique continuation or ``backwards-uniqueness'' theorem for solutions to the Ricci flow. A particular consequence is that the isometry group of a solution cannot expand within the lifetime of the solution.

Keywords

Cite

@article{arxiv.0906.4920,
  title  = {Backwards uniqueness of the Ricci flow},
  author = {Brett Kotschwar},
  journal= {arXiv preprint arXiv:0906.4920},
  year   = {2009}
}

Comments

21 pages

R2 v1 2026-06-21T13:18:15.500Z